What is the Least Common Multiple of 56675 and 56679?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 56675 and 56679 is 3212282325.
LCM(56675,56679) = 3212282325
Least Common Multiple of 56675 and 56679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56675 and 56679, than apply into the LCM equation.
GCF(56675,56679) = 1
LCM(56675,56679) = ( 56675 × 56679) / 1
LCM(56675,56679) = 3212282325 / 1
LCM(56675,56679) = 3212282325
Least Common Multiple (LCM) of 56675 and 56679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56675 and 56679. First we will calculate the prime factors of 56675 and 56679.
Prime Factorization of 56675
Prime factors of 56675 are 5, 2267. Prime factorization of 56675 in exponential form is:
56675 = 52 × 22671
Prime Factorization of 56679
Prime factors of 56679 are 3, 7, 2699. Prime factorization of 56679 in exponential form is:
56679 = 31 × 71 × 26991
Now multiplying the highest exponent prime factors to calculate the LCM of 56675 and 56679.
LCM(56675,56679) = 52 × 22671 × 31 × 71 × 26991
LCM(56675,56679) = 3212282325
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